2t+1/10=-5/2×t²

2t+1/10=-5/2×t²
2t+1/10=-5/2×t²

2t+1/10=-5/2×t²
2t+1/10=-5/2×t² 两边同时乘以10得
20t+1=-25t²
25t²+20t=-1
25t²+20t+4=-1+4
(5t+2)²=3
5t+2=±√3
5t=-2±√3
t=(-2±√3)/5
t1=(-2+√3)/5,t2=(-2-√3)/5
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2t+1/10=-5/2×t²
t²+4t/5+1/25=0
t²+4t/5+4/25-4/25+1/25=0
(t+2/5)²-3/25=0
(t+2/5-√3/5)(t+2/5+√3/5)=0
t=-2/5+√3/5或t=-2/5-√3/5